Alex Trebek's Wife Jean Shares Toughest Part of Their Cancer Battle The couple have been married for 29 years and share two adult children Published January 2, 2020 • Updated on January 2, 2020 at 10:37 am Michael Kovac/Getty Images for AFI HOLLYWOOD, CALIFORNIA – JUNE 06: (L-R) Alex Trebek and Jean Currivan Trebek attend the 47th AFI Life Achievement Award honoring Denzel Washington at Dolby Theatre on June 06, 2019 in Hollywood, California. (Photo by Michael Kovac/Getty Images for AFI)